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Finding the Fourth Proportional to 465.84, 641.12 and 372.24

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Solution

The fourth proportional to 465.84, 641.12 and 372.24 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 641.12 = 372.24 : x
  2. Step 2: Convert to fraction form
    465.84/641.12 = 372.24/x
  3. Step 3: Cross multiply
    465.84x = 641.12 × 372.24
  4. Step 4: Simplify right side
    465.84x = 238,650.51
  5. Step 5: Solve for x
    x = 238,650.51/465.84
  6. Step 6: Final answer
    x = 512.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.